Non-Riemannian effects (i.e. torsion and non-metricity) are believed to play a crucial role in the early time Cosmological evolution [1]}. These non-Riemannian contributions which are associated with the microstructure of matter [2]}, [3]}, [4]}, [5]} appear naturally in the so-called Metric-Affine Gravity (MAG) formulation [6]}, [7]} where the metric and the affine connection are regarded as independent variables with the latter possessing both torsion and non-metricity. There are many characteristics of MAG that make it an attractive and promising Theory of Gravity. For instance, when written in the language of exterior differential forms, it can be seen to be a gauge Theory of Gravity [6]}. In addition, it takes into account the microscopic characteristics of matter such as spin, dilation and shear and also offers appealing features of quantization [9]}. Possible experimental effects of these non-Riemannian effects were discussed in [10]}, [11]}.
